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Simplifying (8x + 30) + 87 + (x2 + 10x) = 360 Reorder the terms: (30 + 8x) + 87 + (x2 + 10x) = 360 Remove parenthesis around (30 + 8x) 30 + 8x + 87 + (x2 + 10x) = 360 Reorder the terms: 30 + 8x + 87 + (10x + x2) = 360 Remove parenthesis around (10x + x2) 30 + 8x + 87 + 10x + x2 = 360 Reorder the terms: 30 + 87 + 8x + 10x + x2 = 360 Combine like terms: 30 + 87 = 117 117 + 8x + 10x + x2 = 360 Combine like terms: 8x + 10x = 18x 117 + 18x + x2 = 360 Solving 117 + 18x + x2 = 360 Solving for variable 'x'. Reorder the terms: 117 + -360 + 18x + x2 = 360 + -360 Combine like terms: 117 + -360 = -243 -243 + 18x + x2 = 360 + -360 Combine like terms: 360 + -360 = 0 -243 + 18x + x2 = 0 Factor a trinomial. (-27 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(-27 + -1x)' equal to zero and attempt to solve: Simplifying -27 + -1x = 0 Solving -27 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -1x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -1x = 0 + 27 -1x = 0 + 27 Combine like terms: 0 + 27 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-27, 9}
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